`x=a cos theta, y=b sin theta,` find dy/dx

x =a tan theta ,y =b sec theta find dy/dx

x=a cos t, y=b sin t find dy/dx

Show that the point (x, y) , where x=a+r cos theta, y = b + r sin theta , lies on a circle for all values of theta .

If x = a cos theta + b sin theta and y =asin theta-b cos theta , then prove that y^2 (d^2y)/(dx^2)-x(dy)/(dx)+y=0

Show that equations x=a cos theta + b sin theta, y = a sin theta - b cos theta represents a circle, wheter theta is a parameter.

Show that : x=a cos theta - b sin theta and y = a sin theta + b cos theta , represent a circle where theta is the parameter.

If x=acos^3theta,y=a sin^3theta then find (d^2y)/(dx^(2))

Find dy/dx x=a\ cos^3theta , y=a\ sin^3theta

Eliminate theta from the following equation : x=h+a cos theta, y=k + b sin theta

If x = a( sin theta - theta cos theta) and y = a ( cos theta + theta sin theta) " find " (dy)/(dx) at theta = pi/4